So hopefully that explains amplitude.
The period is the length of a wave before it starts repeating itself. The usual period of a sine function is 2Pi as the wave will begin to repeat after that point in time.
I.e. period of Sin(x) is 2Pi.
Is this making sense so far?

\[y(x)=A\sin(\omega t+\phi)+b\]
\(A\) is the Amplitude
\(\omega\) is the angular frequency
\(\frac{\omega}{2\pi}=\)frequency of oscillation
\(\tau\) is the period and \(\tau=\frac{2\pi}{\omega}\)
\(\phi\) is the phase shift
\(b\) is the vertical shift